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725273088 = 2934379139
BaseRepresentation
bin101011001110101…
…100101000000000
31212112201200122020
4223032230220000
52441132214323
6155545041440
723654501541
oct5316545000
91775650566
10725273088
11342441451
12182a86280
13b734a997
146c4764c8
1543a15ae3
hex2b3aca00

725273088 has 160 divisors (see below), whose sum is σ = 2016537600. Its totient is φ = 231469056.

The previous prime is 725273077. The next prime is 725273089. The reversal of 725273088 is 880372527.

It is not an unprimeable number, because it can be changed into a prime (725273089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5217723 + ... + 5217861.

It is an arithmetic number, because the mean of its divisors is an integer number (12603360).

Almost surely, 2725273088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 725273088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008268800).

725273088 is an abundant number, since it is smaller than the sum of its proper divisors (1291264512).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

725273088 is a wasteful number, since it uses less digits than its factorization.

725273088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 725273088 is about 26930.8946750753. The cubic root of 725273088 is about 898.4636702847.

The spelling of 725273088 in words is "seven hundred twenty-five million, two hundred seventy-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 79 86 96 128 129 139 158 172 192 237 256 258 278 316 344 384 417 474 512 516 556 632 688 768 834 948 1032 1112 1264 1376 1536 1668 1896 2064 2224 2528 2752 3336 3397 3792 4128 4448 5056 5504 5977 6672 6794 7584 8256 8896 10112 10191 10981 11008 11954 13344 13588 15168 16512 17792 17931 20224 20382 21962 22016 23908 26688 27176 30336 32943 33024 35584 35862 40448 40764 43924 47816 53376 54352 60672 65886 66048 71168 71724 81528 87848 95632 106752 108704 121344 131772 143448 163056 175696 191264 213504 217408 263544 286896 326112 351392 382528 434816 472183 527088 573792 652224 702784 765056 869632 944366 1054176 1147584 1304448 1405568 1416549 1530112 1739264 1888732 2108352 2295168 2608896 2811136 2833098 3060224 3777464 4216704 4590336 5217792 5622272 5666196 7554928 8433408 9180672 11332392 15109856 16866816 22664784 30219712 45329568 60439424 90659136 120878848 181318272 241757696 362636544 725273088